>>Can I access MaxHTMLLength property of the CuteEditor from javascript.
Yes.
var MaxHTMLLength = parseInt(editor.GetScriptProperty("MaxHTMLLength")||"0");
>>Can't we make use of it when typing in the characters in the CuteEditor.
Check this example and use CuteEditor_OnChange:
asp.net Chat http://cutesoft.net/ASP.NET+Chat/default.aspx
Web Messenger: http://cutesoft.net/Web-Messenger/default.aspx
asp.net wysiwyg editor: http://cutesoft.net/ASP.NET+WYSIWYG+Editor/default.aspx
asp wysiwyg html editor: http://cutesoft.net/ASP
asp.net Image Gallery: http://cutesoft.net/ASP.NET+Image+Gallery/default.aspx
Live Support: http://cutesoft.net/live-support/default.aspx